Least Common Multiple of 311/29, 604/4233

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 311/29, 604/4233 quickly i.e. 187844 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 311/29, 604/4233 is 187844.

LCM(311/29, 604/4233) = 187844

LCM of 311/29, 604/4233

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 311/29,604/4233

Given numbers are 311/29,604/4233

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 311,604

Least Common Multiple of Numerators i.e. LCM of 311,604 is 187844.

GCF of Denominators means GCF of 29,4233 as per the given fractions.

GCF of 29,4233 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 311,604

LCM of Fractions 311/29,604/4233 is 187844

Given numbers has no common factors except 1. So, there LCM is their product i.e 187844

Least Common Multiple of 311,604 with GCF Formula

Least Common Multiple of 311,604 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 311,604 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(311,604) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(311,604) x common factors =1 x 1 = 1

LCM(311,604) = ( 311 × 604 ) / 1

LCM(311,604) = 187844 / 1

LCM(311,604) = 187844


Lets's calculate GCF of 29,4233

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 187844/1

Therefore the LCM of Fractions 311/29,604/4233 is 187844

Greatest Common Factor of 29,4233 By Matching Biggest Common Factor Method

Greatest Common Factor of 29,4233 By Matching Biggest Common Factor Method

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 4233

List of positive integer factors of 4233 that divides 4233 without a remainder.

1,3,17,51,83,249,1411,4233

Greatest Common Factor

We found the factors 29,4233 . The biggest common factor number is the GCF number.
So the greatest common factor 29,4233 is 1.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Frequently Asked Questions on Fractional LCM of 311/29, 604/4233

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 311/29, 604/4233?

Answer: LCM of Numerators as per given numbers 311/29, 604/4233 is

LCM of Numerators i.e. for 311,604 is 187844

GCF of denominators i.e. for 29,4233 is 1.

Thus, LCM of Fractions is 187844.Finally, LCM of Fractions for 311/29, 604/4233 is 187844.